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Finding the Fourth Proportional to 280,390.92, 420,592.22 and 100,488.04

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Solution

The fourth proportional to 280,390.92, 420,592.22 and 100,488.04 is: 150,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,390.92 : 420,592.22 = 100,488.04 : x
  2. Step 2: Convert to fraction form
    280,390.92/420,592.22 = 100,488.04/x
  3. Step 3: Cross multiply
    280,390.92x = 420,592.22 × 100,488.04
  4. Step 4: Simplify right side
    280,390.92x = 42,264,487,827.05
  5. Step 5: Solve for x
    x = 42,264,487,827.05/280,390.92
  6. Step 6: Final answer
    x = 150,734.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.